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Finding the Third Proportional to 42,351 and 63,321

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Solution

The third proportional to 42,351 and 63,321 is: 94,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,351 : 63,321 = 63,321 : x
  2. Step 2: Convert to fraction form
    42,351/63,321 = 63,321/x
  3. Step 3: Cross multiply
    42,351x = 63,321 × 63,321
  4. Step 4: Simplify right side
    42,351x = 4,009,549,041
  5. Step 5: Solve for x
    x = 4,009,549,041/42,351
  6. Step 6: Final answer
    x = 94,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.